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Finding the Fourth Proportional to 1,586.42, 2,379 and 661.35

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Solution

The fourth proportional to 1,586.42, 2,379 and 661.35 is: 991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.42 : 2,379 = 661.35 : x
  2. Step 2: Convert to fraction form
    1,586.42/2,379 = 661.35/x
  3. Step 3: Cross multiply
    1,586.42x = 2,379 × 661.35
  4. Step 4: Simplify right side
    1,586.42x = 1,573,351.65
  5. Step 5: Solve for x
    x = 1,573,351.65/1,586.42
  6. Step 6: Final answer
    x = 991.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.